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slava [35]
3 years ago
14

The regular price of a pair of sneakers is $80. They are on sale now for $50. What is the percent decrease in the price of sneak

ers?
Mathematics
1 answer:
Ilya [14]3 years ago
3 0

9514 1404 393

Answer:

  37.5% decrease

Step-by-step explanation:

The percentage change is given by the formula ...

  pct change = ((new price) -(original price))/(original price) × 100%

  = (50 -80)/80 × 100%

  = -3/8 × 100% = -37.5%

The negative sign indicates a decrease.

The decrease in price is 37.5%.

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Use the binomial expansion and approximation to find √3​
belka [17]

According to the use of binomial expansion, the approximate value of √3 is found by applying the infinite sum √3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...

An acceptable result cannot be found manually for it requires a <em>high</em> number of elements, with the help of a solver we find that the <em>approximate</em> value of √3 is 1.732.  

<h3>How to approximate the value of a irrational number by binomial theorem</h3>

Binomial theorem offers a formula to find the <em>analytical</em> form of the power of a binomial of the form (a + b)ⁿ:

(a + b)^{n} = \sum \limits_{k = 0}^{n} \left(\begin{array}{c}n\\k\end{array}\right)\cdot a^{n-k} \cdot b^{k}     (1)

Where:

  • a, b - Constants of the binomial.
  • n - Grade of the power binomial.
  • k - Index of the k-th element of the power binomial.

If we know that a = 1, b = 2 and n = 1 / 2, then an approximate expression for the square root is:

√3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...

To learn more on binomial expansions: brainly.com/question/12249986

#SPJ1

8 0
1 year ago
Jamar and Peggy live on opposite sides of a park. Peggy counted how many steps it takes her to get from her house to Jamar's hou
creativ13 [48]

Answer:

A.96.25 steps.  B. Approximately 37 steps shorter

Step-by-step explanation:

From Pythagoras theory,

Hyp² = Adj² + Opp²

Hyp² = 52² + 81²

Hyp² = 2704 + 6561

Hyp² = 9265

Hyp = √9265

Hyp = 96.25 steps

= 81 + 52 = 133 - 96.25

= 36.75 or approximately 37 steps shorter

7 0
2 years ago
What is the perimeter of the quadrilateral?
olasank [31]

Answer:

24.6

Step-by-step explanation:

you multiply them all by two then add them together. :P

6 0
2 years ago
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Stephanie is training for a race in the summer. Every day she jogs the same number of miles. She also rides her bicycle 6.5 mile
dangina [55]

Answer:

Answer is 910

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Step-by-step explanation:

3 0
2 years ago
Explain how you could use the construction tool or a compass and straightedge to create a line segment that is twice as long as
Lena [83]

A construction is a geometric drawing that uses a limited set of tools, usually a compass and straightedge. You can ... compass and straightedge (a ruler without marks) to construct a segment that is congruent to a given segment, and an ... CRITICAL THINKING: Describe how you could use a compass and a straightedge to.


Read more on Brainly.com - brainly.com/question/8875436#readmore

6 0
3 years ago
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